I find it intriguing that one would suggest on the one hand that science is not "atheistic," and then in the same sentence declare science to be wholly incapable of accessing the supernatural (whatever that means; as if it has already been scientifically ascertained what is and what is not supernatural). Saying the supernatural "cannot be studied scientifically" is neither open-minded nor scientific in and of itself. Unless of course one is beholden to atheistic underpinnings from the get go. And that is fine. That is why atheistic science should be allowed in public schools. But it should not be established by law.
"Saying the supernatural "cannot be studied scientifically" is neither open-minded nor scientific in and of itself."
OK, then. Suppose you tell me how the supernatural might be studied using the scientific method. Just a general outline will do.
Science deals with the physical world around us. That is all it can deal with. We have no tools with which to measure what is not part of the universe we inhabit.
There is no godmeter. There is no way to put deities under a microscope. The largest telescope can see nothing that doesn't exist in temporal space.
So, how do you propose that science would investigate supernatural phenomena. It cannot. So science simply ignores the supernatural, since, by definition, science cannot study what is not part of the physical universe.